6-a=.33(9a-18)

Solution for 6-a=.33(9a-18) equation:

Simplifying
6 + -1a = 0.33(9a + -18)

Reorder the terms:
6 + -1a = 0.33(-18 + 9a)
6 + -1a = (-18 * 0.33 + 9a * 0.33)
6 + -1a = (-5.94 + 2.97a)

Solving
6 + -1a = -5.94 + 2.97a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-2.97a' to each side of the equation.
6 + -1a + -2.97a = -5.94 + 2.97a + -2.97a

Combine like terms: -1a + -2.97a = -3.97a
6 + -3.97a = -5.94 + 2.97a + -2.97a

Combine like terms: 2.97a + -2.97a = 0.00
6 + -3.97a = -5.94 + 0.00
6 + -3.97a = -5.94

Add '-6' to each side of the equation.
6 + -6 + -3.97a = -5.94 + -6

Combine like terms: 6 + -6 = 0
0 + -3.97a = -5.94 + -6
-3.97a = -5.94 + -6

Combine like terms: -5.94 + -6 = -11.94
-3.97a = -11.94

Divide each side by '-3.97'.
a = 3.007556675

Simplifying
a = 3.007556675